A. P. Chugainova, R. R. Polekhina, “Admissibility of discontinuities in the solutions of a hyperbolic $2 \times 2$ system of conservation laws”, Int. J. Non-Linear Mech., 178 (2025), 105174–11
2.
R. R. Polekhina, A. P. Chugainova, “Undercompressive discontinuities of a hyperbolic system of conservation law equations: finite-difference schemes”, Zh. Vychisl. Mat. Mat. Fiz., 65:5 (2025), 686–696; Comput. Math. Math. Phys., 65:5 (2025), 1026–1036
2024
3.
A. P. Chugainova, R. R. Polekhina, “Conditions for the decay of a wave into a system of waves in a viscoelastic medium with a negative nonlinearity parameter”, Int. J. Non-Linear Mech., 158 (2024), 104590–7
R. R. Polekhina, E. B. Savenkov, “Numerical study of the discontinuous Galerkin method for solving the Baer–Munziato equations with instantaneous mechanical relaxation”, Mat. Model., 36:4 (2024), 53–76; Math. Models Comput. Simul., 16:6 (2024), 826–842
2023
5.
A. P. Chugainova, R. R. Polekhina, “Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter”, Trudy Mat. Inst. Steklova, 322 (2023), 251–265; Proc. Steklov Inst. Math., 322 (2023), 242–256
A. P. Chugainova, R. R. Polekhina, “The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem”, Wave Motion, 114 (2022), 102996–11
B. A. Korneev, R. R. Tukhvatullina, E. B. Savenkov, “Numerical investigation of two-phase hyperbolic models”, Mat. Model., 33:4 (2021), 3–20; Math. Models Comput. Simul., 13:6 (2021), 1002–1013
